6(x-1)+3(5-x)=9

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Solution for 6(x-1)+3(5-x)=9 equation:


Simplifying
6(x + -1) + 3(5 + -1x) = 9

Reorder the terms:
6(-1 + x) + 3(5 + -1x) = 9
(-1 * 6 + x * 6) + 3(5 + -1x) = 9
(-6 + 6x) + 3(5 + -1x) = 9
-6 + 6x + (5 * 3 + -1x * 3) = 9
-6 + 6x + (15 + -3x) = 9

Reorder the terms:
-6 + 15 + 6x + -3x = 9

Combine like terms: -6 + 15 = 9
9 + 6x + -3x = 9

Combine like terms: 6x + -3x = 3x
9 + 3x = 9

Add '-9' to each side of the equation.
9 + -9 + 3x = 9 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 9 + -9
3x = 9 + -9

Combine like terms: 9 + -9 = 0
3x = 0

Solving
3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '3'.
x = 0

Simplifying
x = 0

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